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Finding the Fourth Proportional to 57.66, 86.12 and 52.02

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Solution

The fourth proportional to 57.66, 86.12 and 52.02 is: 77.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.66 : 86.12 = 52.02 : x
  2. Step 2: Convert to fraction form
    57.66/86.12 = 52.02/x
  3. Step 3: Cross multiply
    57.66x = 86.12 × 52.02
  4. Step 4: Simplify right side
    57.66x = 4,479.70
  5. Step 5: Solve for x
    x = 4,479.70/57.66
  6. Step 6: Final answer
    x = 77.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.